Answer:
√6 is irrational.
Step-by-step explanation:
The square roots of the others are rational
sqrt 0.16 = 0.4
sqrt 900 = 30
sqrt25 = 6.
This solution to this problem is predicated on the fact that the circumference is just: 
. A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:
So, solving for both the radius and the diameter gives us:
So, the length of thes traight path that goes through the center of the guardain is just 
, and we can use the radius for the next part of the problem.
The area of a circle is 
, which means we can just plug in the radius and find our area:
So, we have found our area(
) and the problem is done.
<h3>
Answer: B) 2</h3>
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Explanation:
Take away the four white small squares on the left side. To balance things out, you have to add 4 black squares to the right side.
Also, take away the two white long rectangles from the right side. To balance this out, you have to add 2 gray long rectangles to the left side.
You should have:
- 5 gray rectangles, and no squares (of any color) on the left side
- 10 black squares, no long rectangles (of any color), on the right side
From here you'll group up the 10 black squares so that you'll have 2 black squares per gray rectangle.
This means the solution is 2.
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If you're curious about the algebraic way to solve, then you could do this:
3x-4 = -2x+6
3x+2x = 6+4
5x = 10
x = 10/5
x = 2
This method doesn't require us to use the visual model.
